Strongly 0-Dimensional Rings


Jayaram C., Oral K. H. , TEKİR Ü.

COMMUNICATIONS IN ALGEBRA, vol.41, no.6, pp.2026-2032, 2013 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 41 Issue: 6
  • Publication Date: 2013
  • Doi Number: 10.1080/00927872.2011.618857
  • Title of Journal : COMMUNICATIONS IN ALGEBRA
  • Page Numbers: pp.2026-2032

Abstract

A commutative ring R with identity is called a strongly 0-dimensional ring if whenever a prime ideal P of R, contains the intersection of any family of ideals, then P contains one of the ideals of the family. In this article, we establish several equivalent conditions for a commutative ring R with identity to be a strongly 0-dimensional ring. We also characterize Artinian rings in terms of strongly 0-dimensional rings.